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Finding the Fourth Proportional to 54,129.16, 74,697.78 and 31,163.48

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Solution

The fourth proportional to 54,129.16, 74,697.78 and 31,163.48 is: 43,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129.16 : 74,697.78 = 31,163.48 : x
  2. Step 2: Convert to fraction form
    54,129.16/74,697.78 = 31,163.48/x
  3. Step 3: Cross multiply
    54,129.16x = 74,697.78 × 31,163.48
  4. Step 4: Simplify right side
    54,129.16x = 2,327,842,773.07
  5. Step 5: Solve for x
    x = 2,327,842,773.07/54,129.16
  6. Step 6: Final answer
    x = 43,005.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.